On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-22
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
For the evolution equation y′(t)=Ay(t) with a scalar type spectral operator A in a Banach space, conditions on A are found that are necessary and sufficient for all weak solutions of the equation on [0,∞) to be strongly infinite differentiable on [0,∞) or [0,∞).
Certain effects of smoothness improvement of the weak solutions are analyzed.
American Psychological Association (APA)
Markin, Marat V.. 2011. On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-501174
Modern Language Association (MLA)
Markin, Marat V.. On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-27.
https://search.emarefa.net/detail/BIM-501174
American Medical Association (AMA)
Markin, Marat V.. On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-27.
https://search.emarefa.net/detail/BIM-501174
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501174
